Question

Divide $414 into three parts such that first one is two-third of the second and the ratio between second and third is 5 : 7.

Answer 1

$90, $135, $189

Explanation:

Since the first part of the ratio is two- thirds of the second, then

first part =
`(2)/(3)` × 5 =
`(10)/(3)`

The ratio is then

`(10)/(3)` : 5 : 7

Sum the 3 parts of the ratio

`(10)/(3)` + 5 + 7 =
`(46)/(3)`

Divide the amount to be shared by the sum to find the value of one part of the ratio.

$414 ×
`(3)/(46)` = $27 ← value of 1 part of the ratio, then

`(10)/(3)` × $27 = $90

5 × $27 = $135

7 × $27 = $189

The 3 parts are $90, $135, $189